4,136,433

3 × 7² × 19 × 1481

Starting at 4,136,433, the Collatz iteration reaches 1 after 304 steps. The first transition is 12409300; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 19 × 1481

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,757,920

Proper Divisor Sum 2,621,487

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4136411 ← → #4136437

Radix Representation

Decimal	4136433
Binary	1111110001110111110001 (22 bits)
Octal	0o17616761
Hexadecimal	0x3F1DF1

Divisor Catalog (24)

1 3 7 19 21 49 57 133 147 399 931 1,481 2,793 4,443 10,367 28,139 31,101 72,569 84,417 196,973 217,707 590,919 1,378,811 4,136,433

Collatz Trajectory (304 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,136,433 12,409,300 6,204,650 3,102,325 9,306,976 4,653,488 2,326,744 1,163,372 581,686 290,843 872,530 436,265 1,308,796 654,398 327,199 981,598 490,799 1,472,398 736,199 2,208,598 1,104,299 3,312,898 1,656,449 4,969,348 2,484,674 1,242,337 3,727,012 1,863,506 931,753 2,795,260 1,397,630 698,815 2,096,446 1,048,223 3,144,670 1,572,335 4,717,006 2,358,503 7,075,510 3,537,755 10,613,266 5,306,633 15,919,900 7,959,950 3,979,975 11,939,926 5,969,963 17,909,890 8,954,945 26,864,836 13,432,418 6,716,209 20,148,628 10,074,314 5,037,157 15,111,472 7,555,736 3,777,868 1,888,934 944,467

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